Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media

被引:4
作者
Jara, Milton [1 ]
机构
[1] Univ Paris 09, CEREMADE, F-75775 Paris, France
来源
DYNAMICS, GAMES AND SCIENCE II | 2011年 / 2卷
关键词
TAGGED PARTICLE; SCALING LIMITS; DIFFUSION; BEHAVIOR; SYSTEM;
D O I
10.1007/978-3-642-14788-3_33
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain the hydrodynamic limit of a simple exclusion process in an inhomogeneous environment of divergence form. Our main assumption is a suitable version cf Gamma-convergence for the environment. In this way we obtain an unified approach to recent works on the field.
引用
收藏
页码:449 / 465
页数:17
相关论文
共 18 条
[1]   Hydrodynamic limit of a disordered lattice gas [J].
Faggionato, A ;
Martinelli, F .
PROBABILITY THEORY AND RELATED FIELDS, 2003, 127 (04) :535-608
[2]   Hydrodynamic behavior of 1D subdiffusive exclusion processes with random conductances [J].
Faggionato, A. ;
Jara, M. ;
Landim, C. .
PROBABILITY THEORY AND RELATED FIELDS, 2009, 144 (3-4) :633-667
[3]  
Faggionato A., 2007, Markov Process. Related Fields, V13, P519
[4]   Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit [J].
Faggionato, Alessandra .
ELECTRONIC JOURNAL OF PROBABILITY, 2008, 13 :2217-2247
[5]   Hydrodynamic Limit of Gradient Exclusion Processes with Conductances [J].
Franco, Tertuliano ;
Landim, Claudio .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 195 (02) :409-439
[6]   HYDRODYNAMICS IN A SYMMETRIC RANDOM MEDIUM [J].
FRITZ, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 125 (01) :13-25
[7]   Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient [J].
Goncalves, Patricia ;
Jara, Milton .
JOURNAL OF STATISTICAL PHYSICS, 2008, 132 (06) :1135-1143
[8]   Scaling limits for gradient systems in random environment [J].
Goncalves, Patricia ;
Jara, Milton .
JOURNAL OF STATISTICAL PHYSICS, 2008, 131 (04) :691-716
[9]   NONLINEAR DIFFUSION LIMIT FOR A SYSTEM WITH NEAREST NEIGHBOR INTERACTIONS [J].
GUO, MZ ;
PAPANICOLAOU, GC ;
VARADHAN, SRS .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (01) :31-59
[10]   Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion [J].
Jara, M. D. ;
Landim, C. .
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2006, 42 (05) :567-577